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10745466000 = 243533797499
BaseRepresentation
bin10100000000111101…
…01100110010010000
31000201212111020020020
422000132230302100
5134001314403000
64534132343440
7530165645133
oct120036546220
930655436206
1010745466000
114614598715
1220ba774b80
131023288309
1473d17421a
1542d561ba0
hex2807acc90

10745466000 has 320 divisors, whose sum is σ = 36018528000. Its totient is φ = 2753740800.

The previous prime is 10745465999. The next prime is 10745466007. The reversal of 10745466000 is 66454701.

It is not an unprimeable number, because it can be changed into a prime (10745466007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21533751 + ... + 21534249.

It is an arithmetic number, because the mean of its divisors is an integer number (112557900).

Almost surely, 210745466000 is an apocalyptic number.

10745466000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10745466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18009264000).

10745466000 is an abundant number, since it is smaller than the sum of its proper divisors (25273062000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10745466000 is a wasteful number, since it uses less digits than its factorization.

10745466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 10745466000 in words is "ten billion, seven hundred forty-five million, four hundred sixty-six thousand".